Finding the Fourth Proportional to 10,758.17, 14,845.57 and 5,977.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.17 : 14,845.57 = 5,977.76 : x
2. Step 2: Convert to fraction form
   10,758.17/14,845.57 = 5,977.76/x
3. Step 3: Cross multiply
   10,758.17x = 14,845.57 × 5,977.76
4. Step 4: Simplify right side
   10,758.17x = 88,743,254.52
5. Step 5: Solve for x
   x = 88,743,254.52/10,758.17
6. Step 6: Final answer
   x = 8,248.92